Collaborative Service Restoration with Network Reconfiguration for Resilience Enhancement in Integrated Electric and Heating Systems
Abstract
:1. Introduction
- (1)
- A model for collaborative service restoration is presented, which considers the interaction between the fault isolation and restoration stages. It emphasizes the complex coupling characteristics between PDS and DHS to enhance resilience in park-level IEHSs.
- (2)
- Coordinated reconfiguration is a key focus in the collaborative recovery process of park-level IEHSs. This approach can improve overall system resilience by shifting electric loads between power sources and optimally adjusting power generation of CHP units in PDS to ensure better energy supply during fault recovery progress.
2. A Collaborative Service Restoration Model for Park-Level IEHS
2.1. Topological Constraints
2.1.1. Fault Isolation Model
2.1.2. Service Restoration Model
2.2. Operation Constraints
2.2.1. PDS Operation Constraints
- Power Balance Constraints
- 2.
- Transmission Capacity Constraints
- 3.
- Voltage Drop Constraints
- 4.
- Unit Output Constraints
- 5.
- Load Shedding Constraints
2.2.2. DHS Operation Constraints
- Heat Station Constraints
- 2.
- Heat Transmission Constraints
- 3.
- Energy Balance Constraints
- 4.
- Unit Output Constraints
- 5.
- Load Shedding Constraints
2.2.3. Objective and Resilience Metrics
3. Case Studies
3.1. Case Description
3.2. Case Analysis
3.2.1. PDS Fault Scenario
3.2.2. DHS Fault Scenario
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
Nomenclature
Abbreviations | |
Index of fault recovery periods | |
Index of fault scenarios | |
Index of fault isolation and service restoration periods | |
Index of CHP units in DHS and PDS | |
Set of lines/pipes | |
Set of buses/nodes | |
Set of parent and child buses of bus | |
Set of CHP units, heating boilers, and heat stations | |
Set of pipes flowing from/to node | |
Parameters and Functions | |
Power loss coefficient of SOP at bus . | |
Minimum/maximum reactive power injections of SOP at bus | |
Capacity of SOP at bus | |
Binary variable that represents whether the line/pipe is closed in the pre-event stage | |
Binary variable that represents whether the line/pipe is equipped with a switch in pre-event stage | |
Binary variable that represents whether there is a fault on the line/pipe , | |
Number of heat/electric sources | |
Number of SOPs | |
Number of pipes/lines | |
Binary variable that represents whether there is a fault on the line/pipe | |
Binary variable that represents whether there is a fault on the line/pipe | |
Transmission capacity of the line | |
Minimum/maximum square voltage magnitude of bus . | |
Minimum/maximum power generation of DG | |
Minimum/maximum power generation of CHP unit | |
Minimum/maximum coefficient of power and heat generation of CHP unit | |
Coefficient between heat generation and fuel consumption of heating boiler | |
Maximum transmission limit of the pipe | |
aj/bj | Weight of electric and heat load |
Variables | |
Active/Reactive power injection of bus that is associated with SOP | |
Active/Reactive Power loss of bus that is associated with SOP | |
Binary variable that represents whether the line/pipe is connected in the fault isolation stage during period | |
Binary variable that represents whether bus is divided into faulted regions. | |
Binary variables that represent the virtual power flow between buses and | |
Binary variable that represents whether SOP is in operation | |
Binary variable that represents whether bus is divided into faulted regions. | |
Active/Reactive power injection of bus that is associated with SOP | |
Active/Reactive power flow from bus to bus | |
Active/Reactive power generation of DG at bus | |
Active/Reactive power generation of CHP unit at bus | |
Electric demand of bus | |
Load shedding of bus | |
Square voltage of bus | |
Heat generation of CHP unit | |
Heat generation and fuel consumption of heating boiler | |
Heat generation of heat station | |
Outlet, inlet, and loss heat quantity of pipe |
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Scenario | Case | Total Load Curtailment (MW) | Load Curtailment (MW) | Resilience Metric | |
---|---|---|---|---|---|
Electric | Heat | ||||
PDS fault scenario | Case 1 | 90.7 | 104.6 | 77.6 | 0.85 |
Case 2 | 72.6 | 41.6 | 30 | 0.96 | |
DHS fault scenario | Case 1 | 113.9 | 45.7 | 68.2 | 0.89 |
Case 2 | 96.8 | 31.6 | 25.2 | 0.92 |
Line/Pipe | Pre-Event | Fault Isolation | Restoration | ||
---|---|---|---|---|---|
Case 1 | Case 2 | Case 1 | Case 2 | ||
L3-23 | 0 | 0 | 0 | 1 | 1 |
L9-10 | 0 | 0 | 0 | 1 | 1 |
L18-33 | 1 | 1 | 1 | 0 | 0 |
L29-30 | 0 | 0 | 0 | 1 | 1 |
N3-9 | 0 | 0 | 1 | 0 | 1 |
N8-9 | 0 | 0 | 1 | 0 | 1 |
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Wang, J.; Ge, H.; Yang, Y.; Pan, Z.; Liu, Y.; Zhao, H. Collaborative Service Restoration with Network Reconfiguration for Resilience Enhancement in Integrated Electric and Heating Systems. Electronics 2023, 12, 3792. https://doi.org/10.3390/electronics12183792
Wang J, Ge H, Yang Y, Pan Z, Liu Y, Zhao H. Collaborative Service Restoration with Network Reconfiguration for Resilience Enhancement in Integrated Electric and Heating Systems. Electronics. 2023; 12(18):3792. https://doi.org/10.3390/electronics12183792
Chicago/Turabian StyleWang, Jinhao, Huaichang Ge, Yang Yang, Zhaoguang Pan, Yizhao Liu, and Haotian Zhao. 2023. "Collaborative Service Restoration with Network Reconfiguration for Resilience Enhancement in Integrated Electric and Heating Systems" Electronics 12, no. 18: 3792. https://doi.org/10.3390/electronics12183792